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Finding the Fourth Proportional to 149,391.01, 206,156.87 and 81,408.57

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Solution

The fourth proportional to 149,391.01, 206,156.87 and 81,408.57 is: 112,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,391.01 : 206,156.87 = 81,408.57 : x
  2. Step 2: Convert to fraction form
    149,391.01/206,156.87 = 81,408.57/x
  3. Step 3: Cross multiply
    149,391.01x = 206,156.87 × 81,408.57
  4. Step 4: Simplify right side
    149,391.01x = 16,782,935,916.30
  5. Step 5: Solve for x
    x = 16,782,935,916.30/149,391.01
  6. Step 6: Final answer
    x = 112,342.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.